Final answer:
To find the perimeter of a similar triangle whose shortest side measures 3, determine the ratio of the length of the corresponding sides in the two triangles, and multiply it by the lengths of the other two sides in the given triangle. The perimeter is the sum of these three sides.
Step-by-step explanation:
To find the perimeter of a similar triangle whose shortest side measures 3, we need to determine the ratio of the length of the corresponding sides in the two triangles.Since both triangles are similar, the ratio of their corresponding sides is the same. In the given triangle, the shortest side measures 6, and in the similar triangle, the corresponding side measures 3. Therefore, the ratio is 3/6 = 1/2.Now, let's find the lengths of the other two sides in the similar triangle. Multiply the ratio 1/2 by the lengths of the corresponding sides in the given triangle:
Shortest side: 3 x (1/2) = 1.5
Second side: 8 x (1/2) = 4
Third side: 10 x (1/2) = 5
The perimeter of the similar triangle is the sum of these three sides: 1.5 + 4 + 5 = 10.5
Therefore, the correct answer is 10.5 (Option c).